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Simplifying 9(x + 3) + 5(x + 3) = 7x + -1(7) Reorder the terms: 9(3 + x) + 5(x + 3) = 7x + -1(7) (3 * 9 + x * 9) + 5(x + 3) = 7x + -1(7) (27 + 9x) + 5(x + 3) = 7x + -1(7) Reorder the terms: 27 + 9x + 5(3 + x) = 7x + -1(7) 27 + 9x + (3 * 5 + x * 5) = 7x + -1(7) 27 + 9x + (15 + 5x) = 7x + -1(7) Reorder the terms: 27 + 15 + 9x + 5x = 7x + -1(7) Combine like terms: 27 + 15 = 42 42 + 9x + 5x = 7x + -1(7) Combine like terms: 9x + 5x = 14x 42 + 14x = 7x + -1(7) Multiply -1 * 7 42 + 14x = 7x + -7 Reorder the terms: 42 + 14x = -7 + 7x Solving 42 + 14x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 42 + 14x + -7x = -7 + 7x + -7x Combine like terms: 14x + -7x = 7x 42 + 7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 42 + 7x = -7 + 0 42 + 7x = -7 Add '-42' to each side of the equation. 42 + -42 + 7x = -7 + -42 Combine like terms: 42 + -42 = 0 0 + 7x = -7 + -42 7x = -7 + -42 Combine like terms: -7 + -42 = -49 7x = -49 Divide each side by '7'. x = -7 Simplifying x = -7
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